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Finding the Fourth Proportional to 3,672.12, 5,069.50 and 2,830.98

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Solution

The fourth proportional to 3,672.12, 5,069.50 and 2,830.98 is: 3,908.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.12 : 5,069.50 = 2,830.98 : x
  2. Step 2: Convert to fraction form
    3,672.12/5,069.50 = 2,830.98/x
  3. Step 3: Cross multiply
    3,672.12x = 5,069.50 × 2,830.98
  4. Step 4: Simplify right side
    3,672.12x = 14,351,653.11
  5. Step 5: Solve for x
    x = 14,351,653.11/3,672.12
  6. Step 6: Final answer
    x = 3,908.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.